Question

Sin a * cos a/sin^2a - cos^2 a​

Answer 1

Ответ:

$\frac{sina\, \cdot cosa}{sin^2a-cos^2a}=\frac{\frac{1}{2}\, sin2a}{-cos2a}=-\frac{1}{2}\, tg2a$

Answer 2

I hope this helps you

Answer 3

To simplify the expression (sin(a) * cos(a)) / (sin^2(a) - cos^2(a)), you can use trigonometric identities. One helpful identity is the Pythagorean identity:

sin^2(a) + cos^2(a) = 1

From this identity, you can rewrite sin^2(a) as 1 - cos^2(a). Now, substitute this into the expression:

(sin(a) * cos(a)) / (1 - cos^2(a) - cos^2(a))

Now, simplify further:

(sin(a) * cos(a)) / (1 - 2 * cos^2(a))

Now, you can factor out cos(a) from the numerator:

cos(a) * (sin(a) / (1 - 2 * cos^2(a)))

This is the simplified form of the expression.